Difference between revisions of "1983 AIME Problems/Problem 1"
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== Problem == | == Problem == | ||
| + | Let <math>x</math>,<math>y</math>, and <math>z</math> all exceed <math>1</math>, and let <math>w</math> be a positive number such that <math>\log_xw=24</math>, <math>\log_yw=40</math>, and <math>\log_{xyz}w=12</math>. Find <math>\log_zw</math>. | ||
== Solution == | == Solution == | ||
| − | + | ---- | |
| − | * [[1983 AIME Problems]] | + | |
| + | * [[1983 AIME Problems/Problem 2|Next Problem]] | ||
| + | * [[1983 AIME Problems|Back to Exam]] | ||
| + | |||
| + | [[Category:Intermediate Algebra Problems]] | ||
Revision as of 22:42, 23 July 2006
Problem
Let 
,
, and 
all exceed 
, and let 
be a positive number such that 
, 
, and 
. Find 
.
